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Level Four > Number and Algebra

# Multiplication with Tenths

Keywords:
Specific Learning Outcomes:

Solve multiplication and division problems by using place value.

Solve multiplication and division problems that involve decimals.

Description of mathematics:

Number Framework Stages 7 and 8.

Required Resource Materials:
Sets of ten connected unilink cunes wrapped in paper
Activity:

#### Using Materials

Students work out 3 x 1.4. It is likely that students will group the 3 wholes. Then they group the 12 tenths into 1 whole + 2 tenths.

So 3 x 1.4 = 4.2

#### Using Materials, Using Imaging, and Using Number Properties

The teacher can select problems from the set below for any stage. When teachers make up their own examples, after grouping the tenths there needs normally to be at least 10 tenths. So 2 x 4.7 is suitable, but 4 x 3.2 is not.

Problems:

3 x 1.5             2 x 1.7                      5 x 1.2                         4 x 0.4

2 x 2.8             3 x 2.5                      6 x 0.5                         5 x 2.4

5 x 4.2             2 x 6.6                      3 x 4.5                        8 x 0.4

6 x 0.5             2 x 10.8                     3 x 9.5                         5 x 6.4

2 x 6.6             x 4.5                         5 x 10.2                       10 x 0.4

## Sensible Rounding

Round whole numbers and decimals, with up to two places, to the nearest whole number, or tenth.

Use rounding to check the answers to multiplication and division problems.

## Percentage Increases & Decreases in One Step

Estimate and find percentages of whole number and decimal amounts.

## Reverse Percentage Problems

Estimate and find percentages of whole number and decimal amounts.

## Checking Multiplication by Estimation

Round whole numbers and decimals, with up to two places, to the nearest whole number, or tenth.

Use rounding to check the answers to multiplication and division problems.